Comparing and Scaling
The Big Idea
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.

Investigation 1: Making Comparisons
Essential Question: What methods are there for comparing things?1.1 Writing Ads - Sahil
1.2 Targeting an Audience - Naasik
1.3 Getting the Message Across - Lucy
Mathematical Reflections, p. 15 - Siena Investigation 2: Comparing by Finding Percents
Essential Question:
What methods are there for comparing things?2.1 Comparing Leisure Activities - Arya
2.2 Comparing Your Class to the Nation - Dwayne
Mathematical Reflections, p. 25 - Sahil
Investigation 3: Comparing by Using Ratios
Essential Question:
What methods are there for comparing things?3.1 Mixing Juice - Wouter
3.2 Helping the Cook -Safwan

3.3 Sharing Pizza -Ajwad
Mathematical Reflections, p. 36 -Rhianna
Investigation 4: Comparing by Finding Rates
Essential Question:
What methods are there for comparing things?4.1 Comparing Fuel Economy - Siena
4.2 Using Unit Rate - Samridhi

4.3 Solving Problems with Rates -Sabina

4.4 Buying Beads - Bhabesh
Mathematical Reflections, p. 51 -Arya
Investigation 5: Estimating Populations & Densities
Essential Question:
What methods are there for comparing things?5.1 Estimating the Size of a Crowd - Lamiya
5.2 Estimating a Deer Population - Wouter
5.3 Finding Population Densities -Sanju
5.4 Comparing the Dakotas -Abdi
5.5 Predicting Traffic Jams -Daksh
Mathematical Reflections, p. 64 -Rhianna
Investigation 6: Choosing Strategies
Essential Question:
What methods are there for comparing things?6.1 Scaling Up or Down -Ajwad
6.2 Using Rules of Thumb - Lucy
6.3 Selecting Delegates
-Melisa
Mathematical Reflections, p. 81 - Bhabesh






Comparing and Scaling Vocabulary
Decimal
Difference
Equation
Equivalent ratio
Fraction
Percent
Population Density
Proportion
Rate
Ratio
Scale
Scaling
Scale Factor
Unit Rate